Robustness of topological phases on aperiodic lattices
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910063942172672 |
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| author | Li, Yuezhao |
| author_facet | Li, Yuezhao |
| contents | We study the robustness of topological phases on aperiodic lattices by constructing *-homomorphisms from the groupoid model to the coarse-geometric model of observable C*-algebras. These *-homomorphisms induce maps in K-theory and Kasparov theory. We show that the strong topological phases in the groupoid model are detected by position spectral triples. We show that topological phases coming from stacking along another Delone set are always weak in the coarse-geometric sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04817 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robustness of topological phases on aperiodic lattices Li, Yuezhao Operator Algebras Mathematical Physics K-Theory and Homology 46L80 (Primary), 19K35, 82C44, 81R15 We study the robustness of topological phases on aperiodic lattices by constructing *-homomorphisms from the groupoid model to the coarse-geometric model of observable C*-algebras. These *-homomorphisms induce maps in K-theory and Kasparov theory. We show that the strong topological phases in the groupoid model are detected by position spectral triples. We show that topological phases coming from stacking along another Delone set are always weak in the coarse-geometric sense. |
| title | Robustness of topological phases on aperiodic lattices |
| topic | Operator Algebras Mathematical Physics K-Theory and Homology 46L80 (Primary), 19K35, 82C44, 81R15 |
| url | https://arxiv.org/abs/2504.04817 |